Answer:
[tex]4cm[/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈
4.0967[/tex]
Which statements are true? Check all that apply.
1 A is in Quadrant I.
2 B is on the x-axis.
3 C is in Quadrant I.
4 D is in Quadrant III.
5 E is on the x-axis.
6 F is on the x-axis.
7 G is on the y-axis.
Answer:
1,4,6
Step-by-step explanation:
Natalie is opening a clothing store. She plans to start by selling gym shorts. It
costs her $7 for each pair of shorts, $3 per box for the shorts, and $0.25 a
bag. Natalie also spends $650 on rent, $55 on electricity, and $20 on
advertising each month. What is the cost function for Natalie's clothing store
per month?
A. C= 10.25n+ 725
B. C = 7.00n + 725
C. C = 725n+ 10.25
D. C = 7.25n+ 725
O
Answer:A
Step-by-step explanation:
The cost function for Natalie's clothing store per month is C = 10.25n + 725.
Explanation:The cost function for Natalie's clothing store per month can be calculated by adding up all the costs she incurs. This includes the cost of the gym shorts, the cost of the boxes for the shorts, the cost of the bags, and the monthly expenses for rent, electricity, and advertising.
The cost of each pair of shorts is $7, the cost of each box is $3, and the cost of each bag is $0.25. The monthly expenses are $650 for rent, $55 for electricity, and $20 for advertising.
Therefore, the cost function for Natalie's clothing store per month can be expressed as: C = 7n + 3n + 0.25n + 650 + 55 + 20, where n represents the number of gym shorts sold.
Simplifying the expression, we get: C = 10.25n + 725
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It takes 32 men to renovate 6 flats in 24 days.
(a) How many flats can 48 men build in 40 days?
Answer:
[tex]3[/tex]
hope this helps
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
31 units
39 units
41 units
49 units
Answer:
41 Units
Step-by-step explanation:
You have to use Pitagora.
Diagonal (d) = √9²+40² = √1681 = 41
The length of a diagonal is 41 units.
Length of a diagonalUsing Pythagorean theorem formula
Diagonal (d) =√width²+length²
Let plug in the formula
Diagonal (d)=9²+40²
Diagonal (d) =81+1600
Diagonal (d)=√1681
Diagonal (d) =41 units
Inconclusion the length of a diagonal is 41 units.
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Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?
Answer:
age of Sam= 15 years
age of Nina = 25 years
Step-by-step explanation:
Let Nina's age be X years
Let Sam's age be Y years
Five years ago Nina's age will be X- 5 years
Five years ago Sam's age will be Y- 5 years
Given in question
Five years ago, Nina was twice as old as Sam
writing it mathematically using X and Y we have
Nina's age = 2 * Sam's age
X- 5 = 2 *(Y- 5)
X = 2 *(Y- 5) + 5 = 2Y - 10 + 5 = 2Y - 5 _________________equation A
__________________________________________________________
Five years in future Nina's age will be X+ 5 years
Five years ago Sam's age will be Y+ 5 years
Given in question
In five years, she will be 1.5 times as old as Sam
writing it mathematically using X and Y we have
Nina's age = 1.5 * Sam's age
X+5 = 1.5 *(Y+ 5)
X = 1.5*(Y+5) -5 = 1.5Y +7.5 - 5 = 1.5Y +2.5 _________________equation B
_______________________________________
in equation A we have X = 2Y - 5
in equation B we have X = 1.5Y + 2.5
equating equation A and B we have
2Y - 5 = 1.5Y +2.5
=> 2Y - 1.5Y = 2.5 + 5
=> 0.5Y = 7.5
=> Y = 7.5/0.5 = 15
from equation A we have
X = 2Y - 5 (substituting the value of Y = 15 in equation we have)
X = 2*15 - 5 = 25
Therefore age of Sam= 15 years
age of Nina = 25 years
Answer:
Nina's 25 and Sam's 15
Step-by-step explanation:
What’s the answers????!!!!
Answer:
[tex] f(0) = 1 [/tex]
Step-by-step explanation:
The initial value is the value when x = 0.
[tex] f(x) = 4^x [/tex]
For x = 0,
[tex] f(0) = 4^0 [/tex]
[tex] f(0) = 1 [/tex]
What is the surface area of the figure?
Composite figure composed of a two rectangular prisms right aligned and stacked on each other. The larger rectangular prism has width of 10 feet, length of 4 feet, and height of 5 feet. The smaller rectangular prism has width of 5 feet, length of 4 feet, and height of 5 feet.
360 cm2
180 cm2
155 cm2
310 cm2
Answer:
I got 300, though it's not in the answer choices
Step-by-step explanation:
Separate them into two separate rectangles
5×10×4= 200cm
5×5×4= 100cm
=300cm^2
f K = {(x, y) | x - y = 5}, is Set K a function?
Answer:
Yes, because the linear function x - y = 5 is a function
Step-by-step explanation:
x - y = 5 can look like y = x - 5 with slope 1 and y-intercept -5
so this is a function which makes set K a function.
You start driving north for 3 miles, turn right, and drive east for another 4 miles. At
the end of driving, what is your straight line distance from your starting point?
The straight line distance is 5 miles from starting point.
Step-by-step explanation:
Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? (2 points)
Group of answer choices
4x2 + 216x + 2,592 = 0
4x2 + 216x − 684 = 0
2x2 + 216x − 3,276 = 0
x2 + 108x + 3,276 = 0
Answer:
4x2+216x-684x
Step-by-step explanation:
solnA) The dimensions of the table are in inches
Let
x=the thickness of the border
we know that the table and the border must have an area of 3,276 square feet
convert the dimensions of the table to feet
remember that; 1ft =12in
36in=3ft
72in=6ft
i.e; 3,276 = (6+12x)*(3+2x)
solve for x
3276=6×3+ 6×2x +2x×3+ 4x²
3276=18+12x+6x+4x²
4x²+18x+18-3276=0
4x²+18x-3258
solnB) The dimensions of the table are in feet
Let
x=the thickness of the border
we know that the table and the border must have an area of 3,276 square feet
i.e 3,276 = ()×()
solve for x
3,276 = 72×36 + 72×2x + 2x×36 + 4x²
3,276 = 2,592 + 144x + 72x + 4x²
4x² + 216x + 2,592 + 3276 = 0
4x²+216× - 684= 0
therefore; the quadratic equation can be used to determine the thickness of the border =
4x² + 216x - 684 = 0
I don’t know which one is write and stuck between C and D ?
Answer:
maybe D
Step-by-step explanation:
I'm thinking D because if do
[tex] - 6 - 4 = - 10[/tex]
but also it doesn't make 16 when you do
[tex]4 \times 6 = 24[/tex]
Use the Venn diagram to calculate conditional probabilities.
Circles D, E, and F overlap. Circle D contains 13, circle E contains 4, and circle F contains F. The overlap of D and E contains 6, the overlap of E and F contains 7, and the overlap of F and D contains 5. The overlap of all 3 circles contains 5. Number 3 is outside of the circles.
Which conditional probabilities are correct? Check all that apply.
P(D | F) = StartFraction 6 Over 34 EndFraction
P(E | D) = StartFraction 7 Over 25 EndFraction
P(D | E) = StartFraction 7 Over 25 EndFraction
P(F | E) = StartFraction 8 Over 18 EndFraction
P(E | F) = StartFraction 13 Over 21 EndFraction
Answer:
E2020 A, B, D
Step-by-step explanation:
The probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we can see in the Venn diagram the data is shown.
P(D | F) = The probability of event D that depends on the event F.
P(D|F) = 6/34
Similarly:
P(E|D) = 7/25
P(F|E) = 8/18
Thus, the probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.
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Which expression is not equal to the expression shown?
33 3-4
3 3 4 34
3*+34
37 - 30
30+
30
3
3 * 36
*3*
33 x 34
30*34
Answer:
Step-by-step explanation:It’s actually the fourth one because all of them equal 2187 the only one is the last one because it equals 1/2187
I need help with this
Answer:
(b +4)(b +9)(c -5)(c +9)(k +2)(k +3)Step-by-step explanation:
Consider the product ...
(x +a)(x +b) = x^2 +(a+b)x +ab
You will notice that the linear term (a+b)x has a coefficient (a+b) that is the sum of the factors of the constant term (ab).
For problems like this, it is useful to be able to factor the constant term, so you can choose the factors with the appropriate sum.
Signs are important. If the constant is positive, its factors will have the same sign, both positive or both negative. If the constant is negative, its factors will have opposite signs.
__
1. b^2 +13b +36
Factors of 36 are ...
36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6
The sums of these are 37, 20, 15, 13, and 12. So, the factor pair we're looking for is 4 and 9. The factorization is ...
= (b +4)(b +9)
__
2. c^2 +4c -45
The middle term is positive, so the larger magnitude factor will be positive. Factors of -45 are ...
-45 = -1·45 = -3·15 = -5·9
Sums of these factors are 44, 12, 4. So, the factor pair we're looking for is -5 and 9. The factorization is ...
= (c -5)(c +9)
__
3. k^2 +5k +6
6 = 1·6 = 2·3 . . . . sums are 7 and 5 ⇒ factors of interest are 2 and 3
= (k +2)(k +3)
The coordinate (0,0) is a point on the graph y = 2x.
True
False
Select the graph that represents h=-16t^2+80
Answer: your graph should look like the picture down below!!
Step-by-step explanation:
Vetex: (0,80)
Focus: (0, 5119/64)
Axis of symmetry: x=0
The graph for the given exponential function is shown in the figure.
What is a exponential function?An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent. It is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
For the given situation,
The exponential function is h = -16t^2+80.
Plot this exponential function in the graph.
We can obtain the graph shown below.
From the graph, the vertex is (0,80)
Hence we can conclude that the graph for the given exponential function is shown in the figure.
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The diameter of a circle measures 28 m. What is the circumference of the circle?
Use 3.14 for y, and do not round your answer. Be sure to include the correct unit in your answer.
28 m
EX
Answer:
87.92 m
Step-by-step explanation:
The formula to calculate the circumference of the circle is:
Diameter * Pi ----> 28 * 3,14
Final answer:
The circumference of a circle with a 28 meter diameter is calculated using the formula C = \\(pi) \\times d, resulting in 87.92 meters as the circumference.
Explanation:
The question requires us to find the circumference of a circle given its diameter, which measures 28 meters. To calculate the circumference, we use the formula C = \\(pi) \\times d, where \\(pi) is approximately 3.14 and d is the diameter of the circle. Since the diameter is 28 meters, the circumference is calculated as follows:
C = 3.14 times 28 m = 87.92 m.
Therefore, the circumference of the circle is 87.92 meters.
3x^2 and 6x^2 greatest common factor
consider the following function f(x)= -9 (1/3) x+3
Answer:
x = 1
Step-by-step explanation:
Download photomath and you can find out.
Answer:
Part A: What is the y-intercept for f(x)? Write your answer as a fraction.
-1/3
Part B: What is the x- intercept for f(x)?
undefined
Part C: Find f(-1)
-1
Step-by-step explanation:
Hope this helps those on Section 7 Topic 4
In a normal quadratic function how many
times does it cross the x intercept?
Answer:
0, 1, 2
Step-by-step explanation:
Hi there!
A quadratic function can have either 0, 1 or 2 x-intercepts. This means that the graph of a quadratic function can intercept the x-axis 0, 1 or 2 times.
Attached are some graphical representations of all three cases.
I hope this helps!
The area of a rectangle is 344 square inches. If the rectangle is 16 inches wide, find the perimeter of the rectangle.
A. 67 inches
B. 72 inches
C. 75 inches
D. 80 inches
Answer:
C. 75 inches
Step-by-step explanation:
well if it's a rectangle then we would do A = L x W we are told the Width and the Area
344 = L x 16
344 / 16 = 21.5
P = L + L + W + W
16 + 16 + 21.5 + 21.5
16 + 16 = 32
21.5 + 21.5 = 43
32 + 43 = 75
the perimeter is 75 inches
Final answer:
To find the perimeter of the rectangle, we calculate the length by dividing the area by the width and then apply the perimeter formula. We find that the length is 21.5 inches and the perimeter is 75 inches.
Explanation:
To find the perimeter of the rectangle when the area is 344 square inches and the width is 16 inches, we need to use the area formula of a rectangle, which is Area = length × width. Since we have the area and the width, we can calculate the length:
Divide the area by the width to find the length: Length = 344 sq in / 16 in = 21.5 in.
Now, use the perimeter formula: Perimeter = 2 × (length + width).
Substitute the length and width into the formula: Perimeter = 2 × (21.5 in + 16 in) = 2 × 37.5 in = 75 inches.
The correct answer is C. 75 inches.
Solve for x and y:
x+y=5 x−y=a
PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!
Answer:
x=[tex]\frac{a+5}{2}[/tex] y=5-[tex]\frac{a+5}{2}[/tex]
Step-by-step explanation:
x+y=5
y=5-x
x-y=a
x-(5-x)=a
2x-5=a
2x=a+5
x=[tex]\frac{a+5}{2}[/tex]
x+y=5
[tex]\frac{a+5}{2}[/tex] +y=5
y=5-[tex]\frac{a+5}{2}[/tex]
Answer:
x=5/2 + a/2, y= 5/2 - a/2
Step-by-step explanation:
We can solve this system using addition of the equations
x+y=5
x-y=a
2x =(5+a)
x=(5+a)/2= 5/2 +a/2
x=5/2 +a/2
x-y=a
y = x - a , x=5/2 + a/2
y= 5/2 + a/2-a
y= 5/2 - a/2
Read more on Brainly.com - https://brainly.com/question/12520369#readmoreStep-by-step explanation:
which glass will get filled first. be very observant to all the paths and think about what would really happen.
Answer:
Number 7
Step-by-step explanation:
That's the one that is at the bottom and the corresponding tubes lead to the one being the first to be filled
What best describes the Debt Snowball method for paying off debt
Answer:
The debt snowball method is a debt reduction strategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance. When the smallest debt is paid in full, you roll the money you were paying on that debt into the next smallest balance.
Step-by-step explanation:
Answer:
a debt reduction str
ategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance.
Step-by-step explanation:
Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A X <-9
B. x > 3
O c. xx-3
D. X>7
Work Shown:
5(3-x) < -2x+6
15-5x < -2x+6 .... distribute
15-5x+5x < -2x+6+5x ... adding 5x to both sides
15 < 3x+6
15-6 < 3x+6-6 ... subtracting 6 from both sides
9 < 3x
3x > 9 ... flip both sides of inequality, flip the inequality sign
3x/3 > 9/3 ... dividing both sides by 3
x > 3
Notice that when going from 3x > 9 to x > 3, the inequality sign does not flip. The sign only flips if you divided both sides by a negative number.
A kite is flying at an angle of elevation of
about 55°. Ignoring the sag in the string,
find the height of the kite if 60 m of string
has been let out.
* help please *
Answer:
49.15 m
Step-by-step explanation:
Length of the string is the hupotenuse: 60
Height of the kite is the opposite: X
sin(55) = opposite/hypotenuse
sin(55) = X/60
X = 60sin(55)
X = 49.14912266 m
The circumference of a
circle is 75.5 ft. What is the radius and
diameter of this
circle? Use 3.14 for Pi.
Round your answer to the
nearest hundredth place
NEED ANSWER ASAP NOW PRONTO NOWWWWWWWWWWWWW
The following box plot shows the number of books sold each day at a store for 60 days. How many days did the bookstore sell 2 to 12 books?
10
15
30
45
Answer:
45
Step-by-step explanation:
Which statement is true
Answer:
A
Step-by-step explanation:
I believe a is true but I'm not a hundred percent sure
Answer:
Answer A
Step-by-step explanation:
13/14 goes to 26/28, which is greater than 25/28.
What is the difference
between:
1X + 3) = 10 & 1X1 + 3 = 10
Step-by-step explanation:
The difference is 1 times +3 is like 1×3=3
Unlike 1 times 1 + 3 =1×1+3=4
Answer:
Step-by-step explanation:
1x +3 is like 1×3=3
1 x 1 + 3 is basically 1×1+3=4